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Let lambda be any non-zero scalar. Then ...

Let `lambda` be any non-zero scalar. Then for what possible values of `x,y` and `z` given below, the vertices `2hati-3hatj+4hatk` and `xhati-yhatj-zhatk` are perpendicular:

A

`x=2lambda,y=lambda,z=lambda`.

B

`x=lambda,y=2lambda,z=-lambda`.

C

`x=-lambda,y=2lambda,z=lambda`.

D

`x=-lambda,y=-2lambda,z=lambda`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. If veca and vecb are two collinear vectors, then which of the followin...

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  2. If veca is a nonzero vector of magnitude 'a' and lambda a nonzero s...

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  3. Let lambda be any non-zero scalar. Then for what possible values of x,...

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  4. Let the vectors veca and vecb be such that |veca|=3 and |vecb|=(sqrt2)...

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  5. Area of a rectangle having vertices : A(-hati+1/2 hatj+4hatk),B(hati+1...

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  6. If theta is the angle between two vectors veca and vecb, then veca c...

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  7. Let veca and vecb be two unit vectors and theta is the angle between t...

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  8. If (hati,hatj,hatk) are the usual three perpendicular unit vectors, th...

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  9. If theta is the angle between two vectors veca and vecb, then |veca*ve...

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  10. The area of the triangle whose adjacent sides are : veca=3hati+hatj+4h...

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  11. The magnitude of the vector 6hati+2hatj+3hatk is :

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  12. The vector with initial point P(2,-3,5) and terminal point Q(3,-4,7) i...

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  13. The angle between the vectors hati-hatj and hatj-hatk is :

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  14. The value of 'lambda' for which the two vectors : 2hati-hatj+2hatk and...

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  15. If |veca|=8,|vecb|=3 and |vecaxxvecb|=12, then value of veca*vecb is :

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  16. If veca=2hati-hatj+hatk and vecb=-2hati+hatk, then the vector in the d...

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  17. If veca and vecb are two collinear vectors, then which of the followi...

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  18. If vecaxxvecb=|veca||vecb|sin theta hatn, which one is correct ?

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  19. If veca*vecb=-|veca||vecb|, then theta=

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  20. The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb...

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